document.write( "Question 1130523: Solve the following system of equations:
\n" ); document.write( "x-5y=20
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\n" ); document.write( "\n" ); document.write( "Please show me how you solve the problem, thanks. \n" ); document.write( "

Algebra.Com's Answer #747192 by ikleyn(52781) $\"\"$ $\"About$

You can put this solution on YOUR website!
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document.write( "Reading your post, I assume that you are a novice in this area.\r\n" );
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document.write( "So, I will show you the simplest method and the simplest way students usually learn this subject.\r\n" );
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document.write( " x - 5y = 20     (1)\r\n" );
document.write( "2x +  y = 14     (2)\r\n" );
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document.write( "From equation (1), express  x = 20 + 5y.   Then substitute this expression into equation (2), replacing x.\r\n" );
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document.write( "You will get a single equation for \"y\"\r\n" );
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document.write( "2*(20+5y) + y = 14\r\n" );
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document.write( "40 + 10y + y = 14\r\n" );
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document.write( "11y = 14 - 40\r\n" );
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document.write( "11y = - 26\r\n" );
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document.write( "y =  = .\r\n" );
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document.write( "Now substitute this value of y into equation (2) to get\r\n" );
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document.write( "2x +  = 14  ====>\r\n" );
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document.write( "2x = 14 +  =  =  =====>  x =  = .\r\n" );
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document.write( "Answer.  x =  = ;  y =  = .\r\n" );
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\n" ); document.write( "\n" ); document.write( "After completing the solution, check on your own that the answer is valid.\r
\n" ); document.write( "\n" ); document.write( "For it, substitute the found values of x and y into the original equations.\r
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\n" ); document.write( "\n" ); document.write( "The method I used in the solution, is called the Substitution method.\r
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\n" ); document.write( "\n" ); document.write( "See the lesson\r
\n" ); document.write( "\n" ); document.write( " - Solution of the linear system of two equations in two unknowns by the Substitution method \r
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